UNITED STATES                                  
                       SECURITIES AND EXCHANGE COMMISSION                       
                             Washington, D.C. 20549                             

                                    Form 6-K                                    

                        REPORT OF FOREIGN PRIVATE ISSUER                        
                  PURSUANT TO RULE 13a-16 OR 15d-16 UNDER THE                   
                        SECURITIES EXCHANGE ACT OF 1934                         

                             For September 3, 2024                              

                      Harmony Gold Mining Company Limited                       

                            Randfontein Office Park                             
            Corner Main Reef Road and Ward Avenue Randfontein, 1759             
                                  South Africa                                  
                    (Address of principal executive offices)                    
                                      *--                                       
   (Indicate by check mark whether the registrant files or will file annual     
                             reports under cover of                             
                           Form 20- F or Form 40-F.)                            

                               Form 20F  Form 40F                               

 (Indicate by check mark whether the registrant by furnishing the information   
   contained in this form is also thereby furnishing the information to the     
  Commission pursuant to Rule 12g3-2(b) under the Securities Exchange Act of    
                                     1934.)                                     

                                    Yes  No                                     




  
  




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Harmony Gold Mining Company Limited
Registration number 1950/038232/06
Incorporated in the Republic of South Africa
ISIN: ZAE000015228
JSE share code: HAR
("Harmony" and/or the "Company")

FURTHER TRADING STATEMENT FOR THE FINANCIAL YEAR ENDED 30 JUNE 2024 ("FY24")

Johannesburg, Monday
, 2 September 2024,
In accordance with section 3.4(b) of the JSE Limited Listings Requirements, 
and updating Harmony's trading statement released on the Stock Exchange News 
Service on 26 August 2024, shareholders are advised that there is greater 
certainty regarding our financial results for FY24 and we are able to provide 
an earnings range, compared to the year ended 30 June 2023 ("FY23").

Harmony's basic earnings per share for FY24 is expected to rise by 77.6% to 
77.9%, to between 1385.0 and 1388.0 cents, from 780 cents in FY23. The 
headline earnings per share for FY24 is expected to increase by 131.5% to 
131.6% from the FY23 comparative of 800 cents, to between 1852.0 and 1852.4 
cents.

The financial information on which this trading statement has been based has 
not been reviewed or reported on by Harmony's external auditors.

Harmony will release the FY24 condensed financial statements on 5 September 
2024.

For more details, contact:

Jared Coetzer
Head of Investor Relations
+27 (0) 82 746 4120

Johannesburg, South Africa
2 September 2024

Sponsor:
J.P. Morgan Equities South Africa Proprietary Limited


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SIGNATURES

Pursuant to the requirements of the Securities Exchange Act of 1934, the 
registrant has duly caused this report to be signed on
its behalf by the undersigned, thereunto duly authorized.


                                                                           
                                Harmony Gold Mining Company Limited        
                                                                           
Date: September 3, 2024         By: /s/ Boipelo Lekubo                     
                                Name: Boipelo Lekubo                       
                                Title: Financial Director